Probably the cheapest would be to have opt for a DVR from their local television provider. Then you could hook into that. Otherwise you can get one of the clearnce TiVo's instead (https://www3.tivo.com/store/clearance.do).
As for size, well... you're kind out of luck there. Perhaps you might be more interested in getting a Monsoon Vulkano to replace the Sling Media Slingbox Solo.
P.s., the CyberHome CH-DVD 300 is just a DVD player.
I don't think there is a "go to" cheap tuner or vcr, since television service is so balkanized. There are just way too many varients for television.
- PAL vs NTSC
- Satellite vs Cable vs Over the Air
- Analog vs Digital
- Encrypted vs Unencrypted
Then you have to worry about connectivity.
Then you have to worry about powering it
Type Plug standard Power rating Grounded Polarised Fused A NEMA 1–15 unpolarised 15A/125V No No No NEMA 1–15 polarised 15A/125V No Yes No JIS C 8303, Class II 15A/100V No No No B NEMA 5–15 15A/125V Yes Yes No NEMA 5–20 20A/125V Yes Yes No JIS C 8303, Class I 15A/100V Yes Yes No C CEE 7/16 (Europlug) 2.5A/250V No No No CEE 7/17 16A/250V No No1 No GOST 7396 C 1 6A/250V
No No No D BS 546 (2 pin) 2A/250V
5A/250V = BS 4573
No No No BS 546 (3 pin) 2A/250V
15A/250V = SABS 164
Yes Yes No E CEE 7/5 16A/250V Yes Yes No F CEE 7/4 (Schuko) 16A/250V Yes No No E+F CEE 7/7 16A/250V Yes Yes2 No G BS 1363, IS 401 & 411, MS 589, SS 145 13A/230-240V Yes Yes Yes H SI 32 16A/250V Yes Yes No I AS/NZS 3112 10A/240V
Yes No CPCS-CCC 10A/250V Yes Yes No IRAM 2073 10A/250V Yes Yes No J SEV 1011 10A/250V
Yes Yes No K Section 107-2-D1 13A/250V Yes Yes No Thailand TIS 166 – 2549 13A/250V Yes Yes No L CEI 23-16/VII 10A/250V
Yes No No – IEC 60906-1 (2 pin) 10A and 20A/250V No No No IEC 60906-1 (3 pin) 10A and 20A/250V Yes Yes No